SOLUTION: solve the equation 4log3(-2x)=10 please help me solve this equation

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Question 197261: solve the equation
4log3(-2x)=10
please help me solve this equation
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!


4%2Alog%283%2C%28-2x%29%29=10 Start with the given equation.


log%283%2C%28-2x%29%29=10%2F4 Divide both sides by 4.


log%283%2C%28-2x%29%29=5%2F2 Reduce


3%5E%285%2F2%29=-2x Rewrite the equation using the property: log%28b%2C%28x%29%29=y ====> b%5Ey=x


-%283%5E%285%2F2%29%29%2F2=x Divide both sides by -2.


x=-%283%5E%285%2F2%29%29%2F2 Rearrange the equation


x=-%28sqrt%28243%29%29%2F2 Convert to radical form and simplify


x=-%289%2Asqrt%283%29%29%2F2 Simplify the square root.


So the solution is x=-%289%2Asqrt%283%29%29%2F2 which approximates to